function cov_plot = plot_cov_over_nu_robust(empirical_cov_list, empirical_cov_list_robust, meta_nu_list)
    
    cov_plot = figure;
    set(fig, 'Units', 'inches', 'Position', [1 1 5.833 4.373]); 
    hold on;
    
    % Plot each line with a unique color and set display names for the legend
    plot(meta_nu_list, empirical_cov_list, 'k', 'LineWidth', 1.2);

    % Plot each line with a unique color and set display names for the legend
    plot(meta_nu_list, empirical_cov_list_robust, 'r--', 'LineWidth', 1.2);
    
    % Add a dashed reference line at y = 0.8
    yline(0.8, 'k--', 'LineWidth', 1, 'HandleVisibility', 'off');
    % Get current y-axis limits
    currentYLim = ylim;
    % Set the new upper limit while keeping the lower limit the same
    ylim([currentYLim(1), 1]);

    % Add xticks
    xtick = 0:0.1:0.5;
    xticks(xtick);
    xlim([xtick(1), xtick(end)]);

    ytick = 0.6:0.1:1;
    % ytick = 0.5:0.1:1;
    yticks(ytick);
    ylim([ytick(1), ytick(end)]);
    set(gca, 'FontSize', 18);
    set(gca, 'TickLabelInterpreter', 'latex');
    
    hold off;

end